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Chapter 3: Problem 26

How are the physical concepts power and speed similar?

Short Answer

Expert verified
Question: Identify two similarities between the physical concepts of power and speed. Answer: Both power and speed are rates measured over time, with power representing the rate of work or energy transfer, and speed representing the rate at which an object moves through distance. Additionally, their formulas have time as the denominator, representing their nature as rates calculated over time.

Step by step solution

01

Define Power

Power is the rate at which work is done or energy is transferred in a system. In physics, it is represented by the letter 'P' and is calculated using the formula P = W/t, where 'W' is the work done and 't' is the time taken.
02

Define Speed

Speed is the measure of how quickly an object moves from one location to another. It is a scalar quantity and is calculated using the formula v = d/t, where 'v' is the speed, 'd' is the distance traveled, and 't' is the time taken.
03

Identify Similarities

Both power and speed share similarities in their definitions and formulas: 1. Both are rates: Power is the rate at which work is done or energy is transferred, and speed is the rate at which an object moves through distance. 2. Both have time (t) in their denominators: In both formulas (P = W/t and v = d/t), time is in the denominator, representing that both quantities are rates calculated over time.
04

Summarize Similarities

In conclusion, power and speed are similar in that they are both rates measured over time, with power representing the rate of work or energy transfer, and speed representing the rate at which an object moves through distance.

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